OFFSET
0,3
FORMULA
a(n) = Sum_{k=0..floor(n/2)} numerator((n-k+1)*binomial(n-k, k)/binomial(2*n-2*k, n-k)).
MATHEMATICA
Table[Sum[Numerator[(n-k+1) Binomial[n-k, k]/Binomial[2n-2k, n-k]], {k, 0, Floor[ n/2]}], {n, 0, 60}] (* Harvey P. Dale, Jun 19 2021 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Sep 11 2004
STATUS
approved